Women in Mathematics
September 7  9, 2022 Online
September 7  9, 2022 Online
In this conference, we will have the following events:
Main purpose of this conference is to make a network of Women in Mathematics in Japan, but, anyone can attend every event with registration.
ポスターデザイン：©EmilyNakajima
Time  Speaker 

09:15  09:25  Opening 
09:25  10:05 
Scaling limits for random processes from the point of view of group cohomology Slide
Day 1  Wednesday, September 7, 2022
09:25  10:05
Makiko Sasada (The University of Tokyo)Scaling limits for random processes from the point of view of group cohomology SlideScaling limits for random walks and stochastic interacting systems have been intensively studied for decades and still remain one of the very major themes of probability theory. I have mainly worked on the diffusive scaling limits in spacetime for interacting particle systems, in which I have recently revealed the importance of a group cohomological view and its connection with the Hodge decomposition as well as periodic matrices with collaborators. This structure is expected to be common and effective not only for interacting particle systems but also in the case of oneparticle random walks and in homogenization problems. I would like to introduce this connection between the scale limits for random processes and the group cohomology. 
10:15  10:55 
On the regularity for multilinear pseudodifferential operators Slide
Day 1  Wednesday, September 7, 2022
10:15  10:55
Sunggeum Hong (Chosun University)On the regularity for multilinear pseudodifferential operators Slide
In this talk we study a Hörmander type estimates about the multilinear pseudodifferential operators associated with a symbol. 
11:05  11:20 
Acylindrical hyperbolicity of some Artin groups
Day 1  Wednesday, September 7, 2022
11:05  11:20
Motoko Kato (University of the Ryukyus)Acylindrical hyperbolicity of some Artin groups Artin groups, also called ArtinTits groups, have been widely studied since their introduction by Tits in 1960s. In particular, Artin groups are important examples in geometric group theory. For various nonpositively curved or negatively curved properties on discrete groups, Artin groups are interesting targets. In this talk, we treat acylindrical hyperbolicity of Artin groups. Charney and MorrisWright showed acylindrical hyperbolicity of Artin groups of infinite type associated with graphs that are not joins, by studying cliquecube complexes and the actions on them. By developing their study and formulating some additional discussion, we demonstrate that acylindrical hyperbolicity holds for more general Artin groups. Indeed, we are able to treat Artin groups of infinite type associated with graphs that are not cones. This talk is based on a jointwork with Shinichi Oguni (Ehime University). 
11:30  11:45 
Ergodic optimization and its relation to thermodynamic formalism
Day 1  Wednesday, September 7, 2022
11:30  11:45
Mao Shinoda (Ochanomizu University)Ergodic optimization and its relation to thermodynamic formalism The main purpose of the ergodic optimization is to describe a maximizing measures, which is an invariant measure attaining maximium of the space average for a given function. In this talk we focus on the interpretation of maximizing measures as a limiting zero temperature version of equilibrium measures. 
11:45  13:30  Lunch 
13:30  13:45 
Facial achromatic number of triangulations on the sphere
Day 1  Wednesday, September 7, 2022
13:30  13:45
Yumiko Ohno (Yokohama National University)Facial achromatic number of triangulations on the sphere A graph consists of a set of vertices and a set of edges. A coloring of a graph is an assigning of colors to the vertices such that any adjacent vertices receive different colors. In particular, a coloring is called complete if every pair of colors appear on some edge. In this talk, we expand complete colorings of graphs to those of graphs embedded on surfaces and consider such colorings of even triangulations on the sphere. 
13:55  14:10 
Quasiisometric embeddings from mapping class groups of nonorientable surfaces
Day 1  Wednesday, September 7, 2022
13:55  14:10
Erika Kuno (Osaka University)Quasiisometric embeddings from mapping class groups of nonorientable surfaces Classifying finitely generated groups by quasiisometries is a key issue in geometric group theory: two groups are quasiisometric if, roughly speaking, their word metrics are the same up to linear functions. It is known that the mapping group Mod(N) of a nonorientable surface N is a subgroup of the mapping group Mod(S) of its double covering orientable surface S. We show that the injective homomorphism is a quasiisometric embedding. This is a joint work with Takuya Katayama. 
14:20  14:35 
Eikonal equations on metric spaces
Day 1  Wednesday, September 7, 2022
14:20  14:35
Xiaodan Zhou (OIST)Eikonal equations on metric spaces Given an equation ∇ u=1, how do we solve it? What kind of functions should we call it the solutions to this socalled eikonal equation? In this talk, we will focus on this simple equation, a special case of the HamiltonJacobi equation. The HamiltonJacobi equation in general metric spaces recently attracts a great deal of attention because of its broad applications in optimal transport, traffic flow, networks, etc. We will first give a review of basic results of eikonal equation in the Euclidean space and introduce some recent development of this equation on metric spaces. 
14:45  15:00 
Region colorings for spatial graphs
Day 1  Wednesday, September 7, 2022
14:45  15:00
Natsumi Oyamaguchi (Shumei University)Region colorings for spatial graphs A Dehn pcoloring for a spatial graph diagram is an assignment of an element(color) of Zp={1,2,…,P1} to each region of the diagram. At each crossing, some coloring condition is satisfied. We give a family of spatial graph invariants and classify the vertex conditions of Dehn colorings. Some examples of spatial graphs can be distinguished by the number of Dehn colorings by selecting an appropriate vertex condition, whereas they cannot be distinguished by the number of Dehn colorings with no vertex condition. This is joint work with Kanako Oshiro(Sophia University). 
15:10  16:10 
Ade Irma Suriajaya, Yuko Yano, Yuanyuan Bao, Sakie Suzuki,
Hideko Hashiguchi,Satoko Sugano, Rika Ishida, Makiko Sasada,
Shihoko Ishii, Nguyen Thi Hoai Linh, Yukari Ito, Reiko Miyaoka,
Akari Kameda, Sonia Mahmoudi, Noe Kawamoto, Miyuki Koiso, Nanao Kita,
Reiko Toriumi, Tomoko Takemura
(1 min. talks) 
18:00  18:40 
Elementary recursive complexity results in real algebraic geometry Slide
Day 1  Wednesday, September 7, 2022
18:00  18:40
Marie Françoise Roy (IRMAR Université de Rennes 1)Elementary recursive complexity results in real algebraic geometry SlideI shall discuss two important results in real algebraic geometry  quantifier elimination, proving that the projection of a semialgebraic set is semialgebraic  Hilbert 17 th problem, proving that a non negative polynomial is always a sum of squares of rational functions from the point of view of effectivity and complexity. The two problems look at first sight totally un related at all but it turns out that modern computer algebra techniques play a key role in proving elementary recursive complexity results for both these problems. 
19:00  19:40 
Exploring a family of Kleinian groups Slide
Day 1  Wednesday, September 7, 2022
19:00  19:40
Caroline Series (University of Warwick)Exploring a family of Kleinian groups SlideA Kleinian group is a discrete group of linear fractional transformations (Möbius maps) acting on the Riemann sphere. Given two Möbius maps, how can we tell if the group they generate is discrete? Answering this question leads through Riemann surfaces and Teichmüller theory to some of Thurston's wonderful ideas about hyperbolic 3manifolds. Also involved are some beautiful computer graphics. I will explain these connections through an example originally introduced by David Mumford and discussed in our book Indra's Pearls (D. Mumford, C. Series and D. Wright, Cambridge University Press 2002). 
Time  Speaker  

08:30  09:10 
An introduction to embedding problems in symplectic geometry Slide
Day 2  Thursday, September 8, 2022
08:30  09:10
Dusa McDuff (Columbia University)An introduction to embedding problems in symplectic geometry Slide
This talk will give an elementary introduction to this topic. 

09:30  10:10 
Discrete cubical homotopy groups and real EilenbergMacLane spaces. Slide
Day 2  Thursday, September 8, 2022
09:30  10:10
Hélène Barcelo (MSRI, Berkeley, California )Discrete cubical homotopy groups and real EilenbergMacLane spaces. Slide
In this talk we wish to demonstrate how a theory, developed entirely for the purpose of solving problems stemming from searchandrescue missions, gave rise to one that in turn has applications to fundamental mathematics. 

10:30  10:45 
Virasoro action on Schur’s Qfunctions
Day 2  Thursday, September 8, 2022
10:30  10:45
Eriko Shinkawa (Tohoku University)Virasoro action on Schur’s Qfunctions Schur Qfunction was introduced by Schur as a symmetric polynomial describing the irreducible index of the projective representation of a symmetric group. A formula for Schur Qfunctions is presented which describes the action of the Virasoro operators. This formula follows from the Plückerlike bilinear identity of Qfunctions as Pfaffians. There must be an algebrageometric meaning of these bilinear identities. 

11:00  11:15 
Harmonic transplantation and its applications to Sobolev embeddings, functional inequalities and PDEs
Day 2  Thursday, September 8, 2022
11:00  11:15
Megumi Sano (Hiroshima University)Harmonic transplantation and its applications to Sobolev embeddings, functional inequalities and PDEs
The harmonic transplantaion is proposed by Hersch in 1969. It is a generalization of the conformal transplantation and is a powerful tool for the construction of comparison functions or approximate solutions f variational problems. 

11:15  13:30  Lunch  
13:30  13:45 
Invariant Hilbert schemes and resolutions of quotient singularities
Day 2  Thursday, September 8, 2022
13:30  13:45
Ayako Kubota (Waseda University)Invariant Hilbert schemes and resolutions of quotient singularities The invariant Hilbert scheme is a moduli space of schemes which aer stable under an action of a reductive algebraic group. By a suitable choice of the parameter, it becomes a candidate for a resolution of singularities of a quotient singularity. In this short talk, I will explain two main problems in the study of the invariant Hilbert scheme from the point of view of birational geometry of singularities. 

13:55  14:10 
Goldbach's Conjecture, the Riemann Hypothesis and problems on twin primes in Number Theory, and recent results relating Goldbach and prime pair problems to zeros of Lfunctions
Day 2  Thursday, September 8, 2022
13:30  13:45
Ade Irma Suriajaya (Kyushu University)Goldbach's Conjecture, the Riemann Hypothesis and problems on twin primes in Number Theory, and recent results relating Goldbach and prime pair problems to zeros of Lfunctions Number Theory has a very long history that dates back thousands of years. The main goal of this study is to understand properties of numbers which essentially can be reduced to understanding prime numbers. Although we have the outstanding Prime Number Theorem, more precise information about the distribution of prime numbers is mostly unknown. For example, it is also not known if there are infinitely many pairs of prime numbers having difference 2, the socalled twin prime pairs. Recent breakthroughs in Analytic Number Theory have succeeded in showing the infinitude of prime pairs with small gaps, which is the contribution of Yitang Zhang, one of this year's Fields medalists, James Maynard, and also Terrence Tao. The 280yearold Goldbach's conjecture and the Riemann hypothesis which is now over 160 years old are also among the most famous yet important unsolved problems in Analytic Number Theory. The Riemann Hypothesis is a conjecture about the location of zeros of the Riemann zeta function. The importance of this problem not only in Number Theory but also many other areas of Mathematics and even Physics is reflected in many known equivalent statements. In Analytic Number Theory alone, we know the equivalence between the Riemann Hypothesis and many prime distribution related problems. Its equivalence to Goldbach related problems is also known. It is important to note that Goldbach's conjecture itself is an independent problem to the Riemann Hypothesis and neither is stronger than the other. In this talk, I would like to introduce a few interesting recent results in this direction. 

14:20  14:35 
Mathematical modeling for COVID19 transmission dynamics in Korea
Day 2  Thursday, September 8, 2022
14:20  14:35
Hyojung Lee (Kyungpook National University)Mathematical modeling for COVID19 transmission dynamics in Korea Mathematical modelling plays a key role in interpreting the epidemiological data on the outbreak of infectious disease. First, mathematical modeling can give us an early warning about the size of the outbreak. Second, we can assess the effect of the control interventions by simulating the various control scenarios to suggest the most effective intervention. In this talk, I’d like to briefly introduce the main results of recent research on the mathematical modeling for COVID19 transmission dynamics. 

14:45  15:00 
Algebraic topology and physics
Day 2  Thursday, September 8, 2022
14:45  15:00
Mayuko Yamashita (RIMS, Kyoto University)Algebraic topology and physics
Recently, there has been a growing interest in the relations between algebraic topology and physics. Algebraic topology is used to classify physical systems, and it can be a very powerful tool to analyze physical problems in purely mathematical ways. 

15:10  16:10 
Karin Ikeda, Marie Watanabe, Motoko Kato, Haruka Watanabe, Yuka Kotorii, Sin Yi TSANG,
Ayako Kubota, Hoshi Tominaga, Misato Kudo, JuAe Song, Hiroko Manaka, Futaba Sato, Haru Negami,
Yumiko Ohno, Itsuki Nakamura, Maki Nakasuji, Akira Lee, Motoko Kakubayashi, Eiko Kin, Aoi Honda
(1 min. talks)


18:00  18:40 
Mathematical reflections on locality Slide
Day 2  Thursday, September 8, 2022
18:00  18:40
Sylvie Paycha (University of Potsdam)Mathematical reflections on locality SlideStarting from the principle of locality in quantum field theory, which states that an object is influenced directly only by its immediate surroundings, we review some features of the notion of locality arising in physics and mathematics. We encode these in locality relations, given by symmetric binary relations, and locality morphisms, namely maps that factorise on products of pairs in the graph of such locality relations. We shall explain why this factorisation is a key property in the context of renormalisation. This survey talk is based on joint work with Li Guo and Bin Zhang. 

18:50  20:50 
(Roy)Activities of the Interational Mathematical Union's Committee for Women in Mathematics (CWM) CWM(Roy) EWM(Maclagan) Student Groups(Maclagan) Photo (Paycha) Movie (paycha)
Day 2  Thursday, September 8, 2022
18:50  20:50
Discussion (Europe) EWM(Maclagan), CWM(Roy), Exhibition (Paycha)(Roy)Activities of the Interational Mathematical Union's Committee for Women in Mathematics (CWM) Photo (Paycha) Movie (paycha) Student Groups(Maclagan) WWM(Maclagan) CWM(Roy)(Roy) Since its creation by IMU in 2015, CWM has developed many initiatives to unite women in mathematics all over the world. I shall discuss briefly the main ones. 
Time  Speaker  

08:30  10:30  WAM(McDuff) MSRI(Barcelo) AWM(Leonard)  
10:30  12:00  KWMS(SoonYi Kang)  
12:00  13:30  Lunch  
13:30  15:30 